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annotate agda/similar.agda @ 26:5ba82f107a95

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Define Similar in Agda
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Tue, 07 Oct 2014 14:43:33 +0900
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children 742e62fc63e4
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5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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1 open import list
5ba82f107a95 Define Similar in Agda
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5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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3 module similar where
5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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5 postulate String : Set
5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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6 postulate show : {A : Set} -> A -> String
5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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8 data Similar (A : Set) : Set where
5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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9 similar : List String -> A -> List String -> A -> Similar A
5ba82f107a95 Define Similar in Agda
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5ba82f107a95 Define Similar in Agda
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5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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12 fmap : {A B : Set} -> (A -> B) -> (Similar A) -> (Similar B)
5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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13 fmap f (similar xs x ys y) = similar xs (f x) ys (f y)
5ba82f107a95 Define Similar in Agda
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5ba82f107a95 Define Similar in Agda
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5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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16 mu : {A : Set} -> Similar (Similar A) -> Similar A
5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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17 mu (similar lx (similar llx x _ _) ly (similar _ _ lly y)) = similar (lx ++ llx) x (ly ++ lly) y
5ba82f107a95 Define Similar in Agda
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5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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19 returnS : {A : Set} -> A -> Similar A
5ba82f107a95 Define Similar in Agda
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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20 returnS x = similar [[ (show x) ]] x [[ (show x) ]] x
5ba82f107a95 Define Similar in Agda
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5ba82f107a95 Define Similar in Agda
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22 returnSS : {A : Set} -> A -> A -> Similar A
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23 returnSS x y = similar [[ (show x) ]] x [[ (show y) ]] y
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